40878400 has 84 divisors (see below), whose sum is σ = 104173020. Its totient is φ = 15769600.

The previous prime is 40878389. The next prime is 40878401. The reversal of 40878400 is 487804.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 37161216 = 1928^2 + 6096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40878401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45960 + ... + 46840.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 2^40878400 is an apocalyptic number.

40878400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52086510).

40878400 is an abundant number, since it is smaller than the sum of its proper divisors (63294620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40878400 is a wasteful number, since it uses less digits than its factorization.

40878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 40878400 is about 6393.6218217846. The cubic root of 40878400 is about 344.4804895411.

The spelling of 40878400 in words is "forty million, eight hundred seventy-eight thousand, four hundred".